Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(9,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.j (of order \(10\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | 16.0.343361479062744140625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} + 3 x^{14} - 8 x^{13} + 8 x^{12} + 7 x^{11} + 6 x^{10} + 56 x^{9} - 137 x^{8} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 124.1 | ||
Root | \(-0.217724 - 1.71831i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.124 |
Dual form | 605.2.j.i.444.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.48377 | − | 2.04223i | −1.04918 | − | 1.44408i | −0.889515 | − | 0.456905i | \(-0.848958\pi\) |
−0.159667 | − | 0.987171i | \(-0.551042\pi\) | |||||||
\(3\) | 0.753510 | − | 0.244830i | 0.435039 | − | 0.141353i | −0.0833066 | − | 0.996524i | \(-0.526548\pi\) |
0.518346 | + | 0.855171i | \(0.326548\pi\) | |||||||
\(4\) | −1.35111 | + | 4.15829i | −0.675555 | + | 2.07914i | ||||
\(5\) | 0.695822 | − | 2.12505i | 0.311181 | − | 0.950351i | ||||
\(6\) | −1.61803 | − | 1.17557i | −0.660560 | − | 0.479925i | ||||
\(7\) | −3.29456 | − | 1.07047i | −1.24523 | − | 0.404598i | −0.389018 | − | 0.921230i | \(-0.627186\pi\) |
−0.856208 | + | 0.516632i | \(0.827186\pi\) | |||||||
\(8\) | 5.69534 | − | 1.85053i | 2.01361 | − | 0.654261i | ||||
\(9\) | −1.91922 | + | 1.39439i | −0.639739 | + | 0.464797i | ||||
\(10\) | −5.37228 | + | 1.73205i | −1.69886 | + | 0.547723i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 3.46410i | 1.00000i | ||||||||
\(13\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(14\) | 2.70222 | + | 8.31657i | 0.722198 | + | 2.22270i | ||||
\(15\) | 0.00403247 | − | 1.77160i | 0.00104118 | − | 0.457426i | ||||
\(16\) | −5.15528 | − | 3.74553i | −1.28882 | − | 0.936383i | ||||
\(17\) | −0.931389 | + | 1.28195i | −0.225895 | + | 0.310918i | −0.906888 | − | 0.421372i | \(-0.861549\pi\) |
0.680993 | + | 0.732290i | \(0.261549\pi\) | |||||||
\(18\) | 5.69534 | + | 1.85053i | 1.34241 | + | 0.436174i | ||||
\(19\) | −1.23607 | − | 3.80423i | −0.283573 | − | 0.872749i | −0.986823 | − | 0.161806i | \(-0.948268\pi\) |
0.703249 | − | 0.710943i | \(-0.251732\pi\) | |||||||
\(20\) | 7.89643 | + | 5.76460i | 1.76570 | + | 1.28900i | ||||
\(21\) | −2.74456 | −0.598913 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.792287i | 0.165203i | 0.996583 | + | 0.0826016i | \(0.0263229\pi\) | ||||
−0.996583 | + | 0.0826016i | \(0.973677\pi\) | |||||||
\(24\) | 3.83843 | − | 2.78878i | 0.783517 | − | 0.569258i | ||||
\(25\) | −4.03166 | − | 2.95731i | −0.806333 | − | 0.591462i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.50184 | + | 3.44349i | −0.481480 | + | 0.662700i | ||||
\(28\) | 8.90261 | − | 12.2534i | 1.68244 | − | 2.31567i | ||||
\(29\) | −2.70222 | + | 8.31657i | −0.501789 | + | 1.54435i | 0.304313 | + | 0.952572i | \(0.401573\pi\) |
−0.806102 | + | 0.591777i | \(0.798427\pi\) | |||||||
\(30\) | −3.62401 | + | 2.62041i | −0.661650 | + | 0.478420i | ||||
\(31\) | −2.72823 | + | 1.98218i | −0.490005 | + | 0.356010i | −0.805186 | − | 0.593022i | \(-0.797935\pi\) |
0.315181 | + | 0.949032i | \(0.397935\pi\) | |||||||
\(32\) | 4.10891i | 0.726360i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.00000 | 0.685994 | ||||||||
\(35\) | −4.56722 | + | 6.25624i | −0.772001 | + | 1.05750i | ||||
\(36\) | −3.20521 | − | 9.86463i | −0.534202 | − | 1.64410i | ||||
\(37\) | 1.03403 | + | 0.335976i | 0.169993 | + | 0.0552341i | 0.392777 | − | 0.919634i | \(-0.371514\pi\) |
−0.222784 | + | 0.974868i | \(0.571514\pi\) | |||||||
\(38\) | −5.93507 | + | 8.16893i | −0.962796 | + | 1.32518i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.0304791 | − | 13.3905i | 0.00481917 | − | 2.11723i | ||||
\(41\) | 2.70222 | + | 8.31657i | 0.422016 | + | 1.29883i | 0.905823 | + | 0.423656i | \(0.139253\pi\) |
−0.483807 | + | 0.875174i | \(0.660747\pi\) | |||||||
\(42\) | 4.07230 | + | 5.60503i | 0.628369 | + | 0.864876i | ||||
\(43\) | 3.46410i | 0.528271i | 0.964486 | + | 0.264135i | \(0.0850865\pi\) | ||||
−0.964486 | + | 0.264135i | \(0.914913\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.62772 | + | 5.04868i | 0.242646 | + | 0.752612i | ||||
\(46\) | 1.61803 | − | 1.17557i | 0.238566 | − | 0.173328i | ||||
\(47\) | −6.30860 | + | 2.04979i | −0.920203 | + | 0.298992i | −0.730550 | − | 0.682859i | \(-0.760736\pi\) |
−0.189653 | + | 0.981851i | \(0.560736\pi\) | |||||||
\(48\) | −4.80158 | − | 1.56013i | −0.693048 | − | 0.225185i | ||||
\(49\) | 4.04508 | + | 2.93893i | 0.577869 | + | 0.419847i | ||||
\(50\) | −0.0574579 | + | 12.6216i | −0.00812578 | + | 1.78496i | ||||
\(51\) | −0.387951 | + | 1.19399i | −0.0543241 | + | 0.167192i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −5.93507 | − | 8.16893i | −0.815245 | − | 1.12209i | −0.990493 | − | 0.137564i | \(-0.956073\pi\) |
0.175248 | − | 0.984524i | \(-0.443927\pi\) | |||||||
\(54\) | 10.7446 | 1.46215 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −20.7446 | −2.77211 | ||||||||
\(57\) | −1.86278 | − | 2.56389i | −0.246731 | − | 0.339596i | ||||
\(58\) | 20.9938 | − | 6.82131i | 2.75663 | − | 0.895682i | ||||
\(59\) | 2.27816 | − | 7.01146i | 0.296591 | − | 0.912814i | −0.686091 | − | 0.727516i | \(-0.740675\pi\) |
0.982682 | − | 0.185298i | \(-0.0593251\pi\) | |||||||
\(60\) | 7.36138 | + | 2.41040i | 0.950351 | + | 0.311181i | ||||
\(61\) | 0.602364 | + | 0.437643i | 0.0771248 | + | 0.0560344i | 0.625680 | − | 0.780080i | \(-0.284822\pi\) |
−0.548555 | + | 0.836115i | \(0.684822\pi\) | |||||||
\(62\) | 8.09613 | + | 2.63059i | 1.02821 | + | 0.334086i | ||||
\(63\) | 7.81561 | − | 2.53945i | 0.984675 | − | 0.319940i | ||||
\(64\) | −1.91922 | + | 1.39439i | −0.239902 | + | 0.174299i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 9.30506i | − | 1.13679i | −0.822754 | − | 0.568397i | \(-0.807564\pi\) | ||
0.822754 | − | 0.568397i | \(-0.192436\pi\) | |||||||
\(68\) | −4.07230 | − | 5.60503i | −0.493838 | − | 0.679710i | ||||
\(69\) | 0.193976 | + | 0.596996i | 0.0233519 | + | 0.0718699i | ||||
\(70\) | 19.5534 | + | 0.0445068i | 2.33708 | + | 0.00531959i | ||||
\(71\) | 8.18470 | + | 5.94653i | 0.971345 | + | 0.705723i | 0.955758 | − | 0.294155i | \(-0.0950382\pi\) |
0.0155873 | + | 0.999879i | \(0.495038\pi\) | |||||||
\(72\) | −8.35023 | + | 11.4931i | −0.984084 | + | 1.35448i | ||||
\(73\) | −6.58911 | − | 2.14093i | −0.771197 | − | 0.250577i | −0.103120 | − | 0.994669i | \(-0.532883\pi\) |
−0.668077 | + | 0.744092i | \(0.732883\pi\) | |||||||
\(74\) | −0.848116 | − | 2.61023i | −0.0985915 | − | 0.303434i | ||||
\(75\) | −3.76194 | − | 1.24129i | −0.434391 | − | 0.143332i | ||||
\(76\) | 17.4891 | 2.00614 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.01567 | − | 0.737928i | 0.114272 | − | 0.0830233i | −0.529182 | − | 0.848509i | \(-0.677501\pi\) |
0.643453 | + | 0.765485i | \(0.277501\pi\) | |||||||
\(80\) | −11.5466 | + | 8.34901i | −1.29095 | + | 0.933447i | ||||
\(81\) | 1.15713 | − | 3.56129i | 0.128570 | − | 0.395699i | ||||
\(82\) | 12.9749 | − | 17.8584i | 1.43284 | − | 1.97213i | ||||
\(83\) | 3.89893 | − | 5.36641i | 0.427963 | − | 0.589040i | −0.539521 | − | 0.841972i | \(-0.681395\pi\) |
0.967484 | + | 0.252932i | \(0.0813948\pi\) | |||||||
\(84\) | 3.70820 | − | 11.4127i | 0.404598 | − | 1.24523i | ||||
\(85\) | 2.07612 | + | 2.87125i | 0.225187 | + | 0.311431i | ||||
\(86\) | 7.07450 | − | 5.13992i | 0.762863 | − | 0.554252i | ||||
\(87\) | 6.92820i | 0.742781i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.37228 | −0.145462 | −0.0727308 | − | 0.997352i | \(-0.523171\pi\) | ||||
−0.0727308 | + | 0.997352i | \(0.523171\pi\) | |||||||
\(90\) | 7.89541 | − | 10.8152i | 0.832249 | − | 1.14003i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −3.29456 | − | 1.07047i | −0.343481 | − | 0.111604i | ||||
\(93\) | −1.57045 | + | 2.16154i | −0.162848 | + | 0.224142i | ||||
\(94\) | 13.5466 | + | 9.84221i | 1.39723 | + | 1.01515i | ||||
\(95\) | −8.94425 | − | 0.0203586i | −0.917661 | − | 0.00208875i | ||||
\(96\) | 1.00599 | + | 3.09610i | 0.102673 | + | 0.315995i | ||||
\(97\) | 3.43323 | + | 4.72544i | 0.348592 | + | 0.479796i | 0.946926 | − | 0.321451i | \(-0.104171\pi\) |
−0.598334 | + | 0.801247i | \(0.704171\pi\) | |||||||
\(98\) | − | 12.6217i | − | 1.27498i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 17.7446 | − | 12.7692i | 1.77446 | − | 1.27692i | ||||
\(101\) | −4.85410 | + | 3.52671i | −0.483001 | + | 0.350921i | −0.802486 | − | 0.596670i | \(-0.796490\pi\) |
0.319485 | + | 0.947591i | \(0.396490\pi\) | |||||||
\(102\) | 3.01404 | − | 0.979321i | 0.298434 | − | 0.0969672i | ||||
\(103\) | −9.88367 | − | 3.21140i | −0.973867 | − | 0.316429i | −0.221491 | − | 0.975162i | \(-0.571092\pi\) |
−0.752376 | + | 0.658734i | \(0.771092\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.90973 | + | 5.83233i | −0.186370 | + | 0.569177i | ||||
\(106\) | −7.87657 | + | 24.2416i | −0.765040 | + | 2.35455i | ||||
\(107\) | −6.30860 | + | 2.04979i | −0.609875 | + | 0.198160i | −0.597640 | − | 0.801765i | \(-0.703895\pi\) |
−0.0122352 | + | 0.999925i | \(0.503895\pi\) | |||||||
\(108\) | −10.9388 | − | 15.0559i | −1.05258 | − | 1.44876i | ||||
\(109\) | −10.0000 | −0.957826 | −0.478913 | − | 0.877862i | \(-0.658969\pi\) | ||||
−0.478913 | + | 0.877862i | \(0.658969\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.861407 | 0.0817611 | ||||||||
\(112\) | 12.9749 | + | 17.8584i | 1.22601 | + | 1.68746i | ||||
\(113\) | 0.472992 | − | 0.153684i | 0.0444954 | − | 0.0144574i | −0.286685 | − | 0.958025i | \(-0.592553\pi\) |
0.331180 | + | 0.943568i | \(0.392553\pi\) | |||||||
\(114\) | −2.47214 | + | 7.60845i | −0.231537 | + | 0.712597i | ||||
\(115\) | 1.68365 | + | 0.551291i | 0.157001 | + | 0.0514081i | ||||
\(116\) | −30.9317 | − | 22.4732i | −2.87194 | − | 2.08658i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −17.6993 | + | 5.75085i | −1.62935 | + | 0.529408i | ||||
\(119\) | 4.44080 | − | 3.22643i | 0.407087 | − | 0.295766i | ||||
\(120\) | −3.25544 | − | 10.0974i | −0.297179 | − | 0.921758i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | − | 1.87953i | − | 0.170164i | ||||||
\(123\) | 4.07230 | + | 5.60503i | 0.367187 | + | 0.505389i | ||||
\(124\) | −4.55632 | − | 14.0229i | −0.409170 | − | 1.25929i | ||||
\(125\) | −9.08975 | + | 6.50972i | −0.813012 | + | 0.582247i | ||||
\(126\) | −16.7827 | − | 12.1933i | −1.49512 | − | 1.08627i | ||||
\(127\) | 4.83032 | − | 6.64836i | 0.428621 | − | 0.589946i | −0.539015 | − | 0.842296i | \(-0.681203\pi\) |
0.967636 | + | 0.252350i | \(0.0812034\pi\) | |||||||
\(128\) | 13.5110 | + | 4.38998i | 1.19421 | + | 0.388023i | ||||
\(129\) | 0.848116 | + | 2.61023i | 0.0746725 | + | 0.229818i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.74456 | −0.239794 | −0.119897 | − | 0.992786i | \(-0.538256\pi\) | ||||
−0.119897 | + | 0.992786i | \(0.538256\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 13.8564i | 1.20150i | ||||||||
\(134\) | −19.0031 | + | 13.8066i | −1.64162 | + | 1.19271i | ||||
\(135\) | 5.57675 | + | 7.71259i | 0.479970 | + | 0.663794i | ||||
\(136\) | −2.93230 | + | 9.02469i | −0.251443 | + | 0.773861i | ||||
\(137\) | −8.43692 | + | 11.6124i | −0.720814 | + | 0.992116i | 0.278682 | + | 0.960383i | \(0.410102\pi\) |
−0.999496 | + | 0.0317325i | \(0.989898\pi\) | |||||||
\(138\) | 0.931389 | − | 1.28195i | 0.0792851 | − | 0.109127i | ||||
\(139\) | 5.01649 | − | 15.4392i | 0.425493 | − | 1.30953i | −0.477029 | − | 0.878888i | \(-0.658286\pi\) |
0.902522 | − | 0.430644i | \(-0.141714\pi\) | |||||||
\(140\) | −19.8444 | − | 27.4447i | −1.67716 | − | 2.31950i | ||||
\(141\) | −4.25174 | + | 3.08907i | −0.358061 | + | 0.260147i | ||||
\(142\) | − | 25.5383i | − | 2.14313i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 15.1168 | 1.25974 | ||||||||
\(145\) | 15.7929 | + | 11.5292i | 1.31153 | + | 0.957448i | ||||
\(146\) | 5.40444 | + | 16.6331i | 0.447274 | + | 1.37657i | ||||
\(147\) | 3.76755 | + | 1.22415i | 0.310742 | + | 0.100966i | ||||
\(148\) | −2.79417 | + | 3.84584i | −0.229679 | + | 0.316126i | ||||
\(149\) | −9.29490 | − | 6.75314i | −0.761468 | − | 0.553239i | 0.137892 | − | 0.990447i | \(-0.455967\pi\) |
−0.899360 | + | 0.437209i | \(0.855967\pi\) | |||||||
\(150\) | 3.04684 | + | 9.52453i | 0.248774 | + | 0.777675i | ||||
\(151\) | −3.78042 | − | 11.6349i | −0.307646 | − | 0.946837i | −0.978677 | − | 0.205407i | \(-0.934148\pi\) |
0.671031 | − | 0.741430i | \(-0.265852\pi\) | |||||||
\(152\) | −14.0797 | − | 19.3790i | −1.14201 | − | 1.57184i | ||||
\(153\) | − | 3.75906i | − | 0.303902i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.31386 | + | 7.17687i | 0.185854 | + | 0.576460i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −23.2544 | + | 7.55580i | −1.85590 | + | 0.603019i | −0.860248 | + | 0.509876i | \(0.829691\pi\) |
−0.995653 | + | 0.0931428i | \(0.970309\pi\) | |||||||
\(158\) | −3.01404 | − | 0.979321i | −0.239784 | − | 0.0779106i | ||||
\(159\) | −6.47214 | − | 4.70228i | −0.513274 | − | 0.372915i | ||||
\(160\) | 8.73164 | + | 2.85907i | 0.690297 | + | 0.226029i | ||||
\(161\) | 0.848116 | − | 2.61023i | 0.0668409 | − | 0.205715i | ||||
\(162\) | −8.98990 | + | 2.92100i | −0.706313 | + | 0.229495i | ||||
\(163\) | 2.03615 | + | 2.80252i | 0.159483 | + | 0.219510i | 0.881279 | − | 0.472596i | \(-0.156683\pi\) |
−0.721796 | + | 0.692106i | \(0.756683\pi\) | |||||||
\(164\) | −38.2337 | −2.98555 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −16.7446 | −1.29963 | ||||||||
\(167\) | −9.24935 | − | 12.7306i | −0.715736 | − | 0.985126i | −0.999655 | − | 0.0262779i | \(-0.991635\pi\) |
0.283918 | − | 0.958848i | \(-0.408365\pi\) | |||||||
\(168\) | −15.6312 | + | 5.07889i | −1.20598 | + | 0.391845i | ||||
\(169\) | 4.01722 | − | 12.3637i | 0.309017 | − | 0.951057i | ||||
\(170\) | 2.78329 | − | 8.50019i | 0.213468 | − | 0.651935i | ||||
\(171\) | 7.67686 | + | 5.57757i | 0.587064 | + | 0.426527i | ||||
\(172\) | −14.4047 | − | 4.68038i | −1.09835 | − | 0.356876i | ||||
\(173\) | 8.09613 | − | 2.63059i | 0.615538 | − | 0.200000i | 0.0153795 | − | 0.999882i | \(-0.495104\pi\) |
0.600158 | + | 0.799881i | \(0.295104\pi\) | |||||||
\(174\) | 14.1490 | − | 10.2798i | 1.07263 | − | 0.779313i | ||||
\(175\) | 10.1168 | + | 14.0588i | 0.764762 | + | 1.06274i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 5.84096i | − | 0.439034i | ||||||
\(178\) | 2.03615 | + | 2.80252i | 0.152616 | + | 0.210058i | ||||
\(179\) | −3.97439 | − | 12.2319i | −0.297060 | − | 0.914257i | −0.982522 | − | 0.186148i | \(-0.940400\pi\) |
0.685462 | − | 0.728109i | \(-0.259600\pi\) | |||||||
\(180\) | −23.1931 | − | 0.0527914i | −1.72871 | − | 0.00393484i | ||||
\(181\) | −19.5109 | − | 14.1755i | −1.45024 | − | 1.05366i | −0.985776 | − | 0.168065i | \(-0.946248\pi\) |
−0.464461 | − | 0.885594i | \(-0.653752\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.561035 | + | 0.182291i | 0.0414729 | + | 0.0134754i | ||||
\(184\) | 1.46615 | + | 4.51235i | 0.108086 | + | 0.332655i | ||||
\(185\) | 1.43346 | − | 1.96358i | 0.105390 | − | 0.144365i | ||||
\(186\) | 6.74456 | 0.494535 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 29.0024i | − | 2.11522i | ||||||
\(189\) | 11.9286 | − | 8.66664i | 0.867678 | − | 0.630405i | ||||
\(190\) | 13.2296 | + | 18.2964i | 0.959777 | + | 1.32736i | ||||
\(191\) | −5.98636 | + | 18.4241i | −0.433158 | + | 1.33312i | 0.461804 | + | 0.886982i | \(0.347202\pi\) |
−0.894962 | + | 0.446142i | \(0.852798\pi\) | |||||||
\(192\) | −1.10476 | + | 1.52057i | −0.0797291 | + | 0.109738i | ||||
\(193\) | −9.66063 | + | 13.2967i | −0.695387 | + | 0.957119i | 0.304602 | + | 0.952480i | \(0.401477\pi\) |
−0.999989 | + | 0.00463891i | \(0.998523\pi\) | |||||||
\(194\) | 4.55632 | − | 14.0229i | 0.327125 | − | 1.00679i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −17.6862 | + | 12.8498i | −1.26330 | + | 0.917844i | ||||
\(197\) | − | 8.51278i | − | 0.606510i | −0.952909 | − | 0.303255i | \(-0.901927\pi\) | ||
0.952909 | − | 0.303255i | \(-0.0980734\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.00000 | 0.567105 | 0.283552 | − | 0.958957i | \(-0.408487\pi\) | ||||
0.283552 | + | 0.958957i | \(0.408487\pi\) | |||||||
\(200\) | −28.4343 | − | 9.38219i | −2.01061 | − | 0.663421i | ||||
\(201\) | −2.27816 | − | 7.01146i | −0.160689 | − | 0.494550i | ||||
\(202\) | 14.4047 | + | 4.68038i | 1.01351 | + | 0.329310i | ||||
\(203\) | 17.8052 | − | 24.5068i | 1.24968 | − | 1.72004i | ||||
\(204\) | −4.44080 | − | 3.22643i | −0.310918 | − | 0.225895i | ||||
\(205\) | 19.5534 | + | 0.0445068i | 1.36567 | + | 0.00310849i | ||||
\(206\) | 8.10666 | + | 24.9497i | 0.564817 | + | 1.73833i | ||||
\(207\) | −1.10476 | − | 1.52057i | −0.0767860 | − | 0.105687i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 14.7446 | − | 4.75372i | 1.01747 | − | 0.328038i | ||||
\(211\) | −1.20473 | + | 0.875286i | −0.0829369 | + | 0.0602572i | −0.628481 | − | 0.777825i | \(-0.716323\pi\) |
0.545544 | + | 0.838082i | \(0.316323\pi\) | |||||||
\(212\) | 41.9877 | − | 13.6426i | 2.88373 | − | 0.936979i | ||||
\(213\) | 7.62314 | + | 2.47691i | 0.522329 | + | 0.169715i | ||||
\(214\) | 13.5466 | + | 9.84221i | 0.926029 | + | 0.672799i | ||||
\(215\) | 7.36138 | + | 2.41040i | 0.502042 | + | 0.164388i | ||||
\(216\) | −7.87657 | + | 24.2416i | −0.535933 | + | 1.64943i | ||||
\(217\) | 11.1102 | − | 3.60991i | 0.754208 | − | 0.245057i | ||||
\(218\) | 14.8377 | + | 20.4223i | 1.00493 | + | 1.38317i | ||||
\(219\) | −5.48913 | −0.370921 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −1.27813 | − | 1.75919i | −0.0857823 | − | 0.118069i | ||||
\(223\) | 2.26053 | − | 0.734490i | 0.151376 | − | 0.0491851i | −0.232349 | − | 0.972633i | \(-0.574641\pi\) |
0.383725 | + | 0.923447i | \(0.374641\pi\) | |||||||
\(224\) | 4.39845 | − | 13.5370i | 0.293884 | − | 0.904482i | ||||
\(225\) | 11.8613 | + | 0.0539969i | 0.790752 | + | 0.00359979i | ||||
\(226\) | −1.01567 | − | 0.737928i | −0.0675614 | − | 0.0490862i | ||||
\(227\) | −15.9117 | − | 5.17004i | −1.05610 | − | 0.343148i | −0.271040 | − | 0.962568i | \(-0.587368\pi\) |
−0.785059 | + | 0.619420i | \(0.787368\pi\) | |||||||
\(228\) | 13.1782 | − | 4.28187i | 0.872749 | − | 0.283573i | ||||
\(229\) | 11.8341 | − | 8.59796i | 0.782018 | − | 0.568169i | −0.123566 | − | 0.992336i | \(-0.539433\pi\) |
0.905584 | + | 0.424167i | \(0.139433\pi\) | |||||||
\(230\) | −1.37228 | − | 4.25639i | −0.0904856 | − | 0.280658i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 52.3663i | 3.43801i | ||||||||
\(233\) | 2.20952 | + | 3.04114i | 0.144750 | + | 0.199232i | 0.875236 | − | 0.483697i | \(-0.160706\pi\) |
−0.730485 | + | 0.682928i | \(0.760706\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.0337610 | + | 14.8324i | −0.00220232 | + | 0.967556i | ||||
\(236\) | 26.0776 | + | 18.9465i | 1.69751 | + | 1.23331i | ||||
\(237\) | 0.584650 | − | 0.804702i | 0.0379771 | − | 0.0522710i | ||||
\(238\) | −13.1782 | − | 4.28187i | −0.854217 | − | 0.277552i | ||||
\(239\) | 4.55632 | + | 14.0229i | 0.294724 | + | 0.907067i | 0.983314 | + | 0.181916i | \(0.0582299\pi\) |
−0.688590 | + | 0.725151i | \(0.741770\pi\) | |||||||
\(240\) | −6.65639 | + | 9.11801i | −0.429668 | + | 0.588565i | ||||
\(241\) | 16.7446 | 1.07861 | 0.539306 | − | 0.842110i | \(-0.318687\pi\) | ||||
0.539306 | + | 0.842110i | \(0.318687\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | − | 15.7359i | − | 1.00946i | ||||||
\(244\) | −2.63370 | + | 1.91350i | −0.168606 | + | 0.122499i | ||||
\(245\) | 9.06002 | − | 6.55103i | 0.578823 | − | 0.418530i | ||||
\(246\) | 5.40444 | − | 16.6331i | 0.344574 | − | 1.06049i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −11.8701 | + | 16.3379i | −0.753755 | + | 1.03745i | ||||
\(249\) | 1.62402 | − | 4.99822i | 0.102918 | − | 0.316749i | ||||
\(250\) | 26.7814 | + | 8.90446i | 1.69381 | + | 0.563167i | ||||
\(251\) | 17.8929 | − | 13.0000i | 1.12939 | − | 0.820550i | 0.143784 | − | 0.989609i | \(-0.454073\pi\) |
0.985606 | + | 0.169059i | \(0.0540729\pi\) | |||||||
\(252\) | 35.9306i | 2.26342i | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −20.7446 | −1.30163 | ||||||||
\(255\) | 2.26735 | + | 1.65522i | 0.141987 | + | 0.103654i | ||||
\(256\) | −9.61563 | − | 29.5939i | −0.600977 | − | 1.84962i | ||||
\(257\) | −10.1642 | − | 3.30254i | −0.634025 | − | 0.206007i | −0.0256675 | − | 0.999671i | \(-0.508171\pi\) |
−0.608357 | + | 0.793663i | \(0.708171\pi\) | |||||||
\(258\) | 4.07230 | − | 5.60503i | 0.253530 | − | 0.348954i | ||||
\(259\) | −3.04701 | − | 2.21378i | −0.189332 | − | 0.137558i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.41042 | − | 19.7293i | −0.396795 | − | 1.22121i | ||||
\(262\) | 4.07230 | + | 5.60503i | 0.251587 | + | 0.346280i | ||||
\(263\) | 27.4179i | 1.69066i | 0.534246 | + | 0.845329i | \(0.320595\pi\) | ||||
−0.534246 | + | 0.845329i | \(0.679405\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −21.4891 | + | 6.92820i | −1.32007 | + | 0.425596i | ||||
\(266\) | 28.2980 | − | 20.5597i | 1.73506 | − | 1.26060i | ||||
\(267\) | −1.03403 | + | 0.335976i | −0.0632814 | + | 0.0205614i | ||||
\(268\) | 38.6931 | + | 12.5722i | 2.36356 | + | 0.767967i | ||||
\(269\) | −9.29490 | − | 6.75314i | −0.566720 | − | 0.411746i | 0.267192 | − | 0.963643i | \(-0.413904\pi\) |
−0.833912 | + | 0.551897i | \(0.813904\pi\) | |||||||
\(270\) | 7.47630 | − | 22.8327i | 0.454993 | − | 1.38956i | ||||
\(271\) | 4.16837 | − | 12.8289i | 0.253210 | − | 0.779301i | −0.740967 | − | 0.671542i | \(-0.765632\pi\) |
0.994177 | − | 0.107760i | \(-0.0343677\pi\) | |||||||
\(272\) | 9.60315 | − | 3.12025i | 0.582277 | − | 0.189193i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 36.2337 | 2.18896 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −2.74456 | −0.165203 | ||||||||
\(277\) | −6.86646 | − | 9.45088i | −0.412566 | − | 0.567848i | 0.551276 | − | 0.834323i | \(-0.314141\pi\) |
−0.963842 | + | 0.266475i | \(0.914141\pi\) | |||||||
\(278\) | −38.9736 | + | 12.6633i | −2.33748 | + | 0.759494i | ||||
\(279\) | 2.47214 | − | 7.60845i | 0.148003 | − | 0.455506i | ||||
\(280\) | −14.4345 | + | 44.0832i | −0.862627 | + | 2.63448i | ||||
\(281\) | 0.413306 | + | 0.300285i | 0.0246558 | + | 0.0179135i | 0.600045 | − | 0.799966i | \(-0.295149\pi\) |
−0.575389 | + | 0.817880i | \(0.695149\pi\) | |||||||
\(282\) | 12.6172 | + | 4.09957i | 0.751343 | + | 0.244126i | ||||
\(283\) | −14.4047 | + | 4.68038i | −0.856272 | + | 0.278220i | −0.704071 | − | 0.710130i | \(-0.748636\pi\) |
−0.152201 | + | 0.988350i | \(0.548636\pi\) | |||||||
\(284\) | −35.7858 | + | 25.9999i | −2.12350 | + | 1.54281i | ||||
\(285\) | −6.74456 | + | 2.17448i | −0.399513 | + | 0.128805i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 30.2921i | − | 1.78808i | ||||||
\(288\) | −5.72943 | − | 7.88589i | −0.337610 | − | 0.464680i | ||||
\(289\) | 4.47739 | + | 13.7800i | 0.263376 | + | 0.810587i | ||||
\(290\) | 0.112350 | − | 49.3594i | 0.00659744 | − | 2.89848i | ||||
\(291\) | 3.74390 | + | 2.72010i | 0.219471 | + | 0.159455i | ||||
\(292\) | 17.8052 | − | 24.5068i | 1.04197 | − | 1.43415i | ||||
\(293\) | 3.01404 | + | 0.979321i | 0.176082 | + | 0.0572125i | 0.395731 | − | 0.918366i | \(-0.370491\pi\) |
−0.219649 | + | 0.975579i | \(0.570491\pi\) | |||||||
\(294\) | −3.09017 | − | 9.51057i | −0.180222 | − | 0.554667i | ||||
\(295\) | −13.3145 | − | 9.71993i | −0.775200 | − | 0.565916i | ||||
\(296\) | 6.51087 | 0.378437 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 29.0024i | 1.68007i | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 10.2444 | − | 13.9661i | 0.591462 | − | 0.806333i | ||||
\(301\) | 3.70820 | − | 11.4127i | 0.213737 | − | 0.657816i | ||||
\(302\) | −18.1520 | + | 24.9840i | −1.04453 | + | 1.43767i | ||||
\(303\) | −2.79417 | + | 3.84584i | −0.160521 | + | 0.220938i | ||||
\(304\) | −7.87657 | + | 24.2416i | −0.451752 | + | 1.39035i | ||||
\(305\) | 1.34915 | − | 0.975531i | 0.0772521 | − | 0.0558587i | ||||
\(306\) | −7.67686 | + | 5.57757i | −0.438857 | + | 0.318848i | ||||
\(307\) | − | 31.5817i | − | 1.80246i | −0.433340 | − | 0.901231i | \(-0.642665\pi\) | ||
0.433340 | − | 0.901231i | \(-0.357335\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −8.23369 | −0.468398 | ||||||||
\(310\) | 11.2236 | − | 15.3743i | 0.637458 | − | 0.873199i | ||||
\(311\) | 1.69623 | + | 5.22047i | 0.0961845 | + | 0.296026i | 0.987561 | − | 0.157239i | \(-0.0502593\pi\) |
−0.891376 | + | 0.453265i | \(0.850259\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.8560 | + | 17.6947i | −0.726661 | + | 1.00016i | 0.272615 | + | 0.962123i | \(0.412112\pi\) |
−0.999276 | + | 0.0380403i | \(0.987888\pi\) | |||||||
\(314\) | 49.9348 | + | 36.2798i | 2.81798 | + | 2.04739i | ||||
\(315\) | 0.0418259 | − | 18.3756i | 0.00235662 | − | 1.03535i | ||||
\(316\) | 1.69623 | + | 5.22047i | 0.0954206 | + | 0.293674i | ||||
\(317\) | 19.3757 | + | 26.6683i | 1.08825 | + | 1.49784i | 0.850106 | + | 0.526612i | \(0.176538\pi\) |
0.238141 | + | 0.971231i | \(0.423462\pi\) | |||||||
\(318\) | 20.1947i | 1.13246i | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 1.62772 | + | 5.04868i | 0.0909922 | + | 0.282230i | ||||
\(321\) | −4.25174 | + | 3.08907i | −0.237309 | + | 0.172415i | ||||
\(322\) | −6.58911 | + | 2.14093i | −0.367197 | + | 0.119310i | ||||
\(323\) | 6.02808 | + | 1.95864i | 0.335411 | + | 0.108982i | ||||
\(324\) | 13.2455 | + | 9.62339i | 0.735859 | + | 0.534633i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 2.70222 | − | 8.31657i | 0.149662 | − | 0.460612i | ||||
\(327\) | −7.53510 | + | 2.44830i | −0.416692 | + | 0.135391i | ||||
\(328\) | 30.7801 | + | 42.3652i | 1.69955 | + | 2.33923i | ||||
\(329\) | 22.9783 | 1.26683 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.1168 | −0.775932 | −0.387966 | − | 0.921674i | \(-0.626822\pi\) | ||||
−0.387966 | + | 0.921674i | \(0.626822\pi\) | |||||||
\(332\) | 17.0472 | + | 23.4635i | 0.935587 | + | 1.28772i | ||||
\(333\) | −2.45300 | + | 0.797029i | −0.134424 | + | 0.0436769i | ||||
\(334\) | −12.2750 | + | 37.7786i | −0.671659 | + | 2.06716i | ||||
\(335\) | −19.7737 | − | 6.47467i | −1.08035 | − | 0.353749i | ||||
\(336\) | 14.1490 | + | 10.2798i | 0.771891 | + | 0.560812i | ||||
\(337\) | 30.8775 | + | 10.0327i | 1.68201 | + | 0.546517i | 0.985299 | − | 0.170840i | \(-0.0546481\pi\) |
0.696706 | + | 0.717356i | \(0.254648\pi\) | |||||||
\(338\) | −31.2102 | + | 10.1408i | −1.69761 | + | 0.551588i | ||||
\(339\) | 0.318778 | − | 0.231605i | 0.0173136 | − | 0.0125791i | ||||
\(340\) | −14.7446 | + | 4.75372i | −0.799636 | + | 0.257807i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | − | 23.9538i | − | 1.29527i | ||||||
\(343\) | 4.07230 | + | 5.60503i | 0.219883 | + | 0.302643i | ||||
\(344\) | 6.41042 | + | 19.7293i | 0.345627 | + | 1.06373i | ||||
\(345\) | 1.40362 | + | 0.00319487i | 0.0755683 | + | 0.000172006i | ||||
\(346\) | −17.3851 | − | 12.6310i | −0.934627 | − | 0.679046i | ||||
\(347\) | 13.3216 | − | 18.3357i | 0.715143 | − | 0.984310i | −0.284528 | − | 0.958668i | \(-0.591837\pi\) |
0.999671 | − | 0.0256427i | \(-0.00816321\pi\) | |||||||
\(348\) | −28.8095 | − | 9.36076i | −1.54435 | − | 0.501789i | ||||
\(349\) | −4.78640 | − | 14.7310i | −0.256210 | − | 0.788534i | −0.993589 | − | 0.113054i | \(-0.963937\pi\) |
0.737379 | − | 0.675480i | \(-0.236063\pi\) | |||||||
\(350\) | 13.7003 | − | 41.5209i | 0.732309 | − | 2.21939i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 25.0410i | 1.33280i | 0.745595 | + | 0.666399i | \(0.232165\pi\) | ||||
−0.745595 | + | 0.666399i | \(0.767835\pi\) | |||||||
\(354\) | −11.9286 | + | 8.66664i | −0.633998 | + | 0.460627i | ||||
\(355\) | 18.3318 | − | 13.2552i | 0.972949 | − | 0.703511i | ||||
\(356\) | 1.85410 | − | 5.70634i | 0.0982672 | − | 0.302435i | ||||
\(357\) | 2.55626 | − | 3.51838i | 0.135291 | − | 0.186213i | ||||
\(358\) | −19.0834 | + | 26.2660i | −1.00859 | + | 1.38820i | ||||
\(359\) | −9.11264 | + | 28.0458i | −0.480947 | + | 1.48020i | 0.356820 | + | 0.934173i | \(0.383861\pi\) |
−0.837766 | + | 0.546029i | \(0.816139\pi\) | |||||||
\(360\) | 18.6131 | + | 25.7418i | 0.980999 | + | 1.35671i | ||||
\(361\) | 2.42705 | − | 1.76336i | 0.127740 | − | 0.0928082i | ||||
\(362\) | 60.8791i | 3.19973i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.13443 | + | 12.5125i | −0.478118 | + | 0.654933i | ||||
\(366\) | −0.460165 | − | 1.41624i | −0.0240532 | − | 0.0740282i | ||||
\(367\) | −24.4809 | − | 7.95432i | −1.27789 | − | 0.415212i | −0.410054 | − | 0.912061i | \(-0.634490\pi\) |
−0.867837 | + | 0.496849i | \(0.834490\pi\) | |||||||
\(368\) | 2.96754 | − | 4.08446i | 0.154694 | − | 0.212917i | ||||
\(369\) | −16.7827 | − | 12.1933i | −0.873673 | − | 0.634760i | ||||
\(370\) | −6.13701 | − | 0.0139689i | −0.319048 | − | 0.000726208i | ||||
\(371\) | 10.8089 | + | 33.2663i | 0.561169 | + | 1.72710i | ||||
\(372\) | −6.86646 | − | 9.45088i | −0.356010 | − | 0.490005i | ||||
\(373\) | − | 11.6819i | − | 0.604867i | −0.953170 | − | 0.302434i | \(-0.902201\pi\) | ||
0.953170 | − | 0.302434i | \(-0.0977990\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.25544 | + | 7.13058i | −0.271390 | + | 0.368222i | ||||
\(376\) | −32.1364 | + | 23.3485i | −1.65731 | + | 1.20411i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −35.3986 | − | 11.5017i | −1.82071 | − | 0.591583i | ||||
\(379\) | −0.507835 | − | 0.368964i | −0.0260857 | − | 0.0189524i | 0.574666 | − | 0.818388i | \(-0.305132\pi\) |
−0.600752 | + | 0.799436i | \(0.705132\pi\) | |||||||
\(380\) | 12.1693 | − | 37.1652i | 0.624273 | − | 1.90654i | ||||
\(381\) | 2.01197 | − | 6.19221i | 0.103076 | − | 0.317237i | ||||
\(382\) | 46.5087 | − | 15.1116i | 2.37959 | − | 0.773177i | ||||
\(383\) | 6.40077 | + | 8.80990i | 0.327064 | + | 0.450165i | 0.940608 | − | 0.339496i | \(-0.110256\pi\) |
−0.613544 | + | 0.789661i | \(0.710256\pi\) | |||||||
\(384\) | 11.2554 | 0.574377 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 41.4891 | 2.11174 | ||||||||
\(387\) | −4.83032 | − | 6.64836i | −0.245539 | − | 0.337955i | ||||
\(388\) | −24.2884 | + | 7.89178i | −1.23306 | + | 0.400644i | ||||
\(389\) | −5.82850 | + | 17.9383i | −0.295516 | + | 0.909506i | 0.687531 | + | 0.726155i | \(0.258695\pi\) |
−0.983047 | + | 0.183351i | \(0.941305\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.01567 | − | 0.737928i | −0.0513646 | − | 0.0373186i | ||||
\(392\) | 28.4767 | + | 9.25265i | 1.43829 | + | 0.467329i | ||||
\(393\) | −2.06805 | + | 0.671952i | −0.104320 | + | 0.0338955i | ||||
\(394\) | −17.3851 | + | 12.6310i | −0.875847 | + | 0.636340i | ||||
\(395\) | −0.861407 | − | 2.67181i | −0.0433421 | − | 0.134434i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.4356i | 0.824881i | 0.910984 | + | 0.412441i | \(0.135324\pi\) | ||||
−0.910984 | + | 0.412441i | \(0.864676\pi\) | |||||||
\(398\) | −11.8701 | − | 16.3379i | −0.594997 | − | 0.818943i | ||||
\(399\) | 3.39247 | + | 10.4409i | 0.169836 | + | 0.522701i | ||||
\(400\) | 9.70767 | + | 30.3465i | 0.485383 | + | 1.51733i | ||||
\(401\) | 9.29490 | + | 6.75314i | 0.464165 | + | 0.337236i | 0.795163 | − | 0.606396i | \(-0.207385\pi\) |
−0.330998 | + | 0.943631i | \(0.607385\pi\) | |||||||
\(402\) | −10.9388 | + | 15.0559i | −0.545576 | + | 0.750921i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −8.10666 | − | 24.9497i | −0.403321 | − | 1.24129i | ||||
\(405\) | −6.76276 | − | 4.93699i | −0.336044 | − | 0.245321i | ||||
\(406\) | −76.4674 | −3.79501 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 7.51811i | 0.372202i | ||||||||
\(409\) | 22.2392 | − | 16.1577i | 1.09966 | − | 0.798947i | 0.118652 | − | 0.992936i | \(-0.462143\pi\) |
0.981004 | + | 0.193989i | \(0.0621426\pi\) | |||||||
\(410\) | −28.9218 | − | 39.9986i | −1.42835 | − | 1.97539i | ||||
\(411\) | −3.51423 | + | 10.8157i | −0.173344 | + | 0.533498i | ||||
\(412\) | 26.7078 | − | 36.7602i | 1.31580 | − | 1.81104i | ||||
\(413\) | −15.0111 | + | 20.6609i | −0.738646 | + | 1.01666i | ||||
\(414\) | −1.46615 | + | 4.51235i | −0.0720574 | + | 0.221770i | ||||
\(415\) | −8.69093 | − | 12.0195i | −0.426621 | − | 0.590013i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 12.8617i | − | 0.629842i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 22.9783 | 1.12256 | 0.561280 | − | 0.827626i | \(-0.310309\pi\) | ||||
0.561280 | + | 0.827626i | \(0.310309\pi\) | |||||||
\(420\) | −21.6722 | − | 15.8213i | −1.05750 | − | 0.772001i | ||||
\(421\) | 2.63000 | + | 8.09432i | 0.128179 | + | 0.394493i | 0.994467 | − | 0.105051i | \(-0.0335007\pi\) |
−0.866288 | + | 0.499545i | \(0.833501\pi\) | |||||||
\(422\) | 3.57507 | + | 1.16161i | 0.174032 | + | 0.0565464i | ||||
\(423\) | 9.24935 | − | 12.7306i | 0.449719 | − | 0.618985i | ||||
\(424\) | −48.9191 | − | 35.5418i | −2.37572 | − | 1.72606i | ||||
\(425\) | 7.54616 | − | 2.41397i | 0.366043 | − | 0.117095i | ||||
\(426\) | −6.25255 | − | 19.2434i | −0.302937 | − | 0.932345i | ||||
\(427\) | −1.51604 | − | 2.08665i | −0.0733663 | − | 0.100980i | ||||
\(428\) | − | 29.0024i | − | 1.40189i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.00000 | − | 18.6101i | −0.289346 | − | 0.897460i | ||||
\(431\) | 20.8102 | − | 15.1195i | 1.00239 | − | 0.728280i | 0.0397920 | − | 0.999208i | \(-0.487330\pi\) |
0.962600 | + | 0.270928i | \(0.0873305\pi\) | |||||||
\(432\) | 25.7954 | − | 8.38144i | 1.24108 | − | 0.403252i | ||||
\(433\) | 27.7754 | + | 9.02478i | 1.33480 | + | 0.433703i | 0.887553 | − | 0.460706i | \(-0.152404\pi\) |
0.447249 | + | 0.894409i | \(0.352404\pi\) | |||||||
\(434\) | −23.8572 | − | 17.3333i | −1.14518 | − | 0.832024i | ||||
\(435\) | 14.7228 | + | 4.82079i | 0.705903 | + | 0.231139i | ||||
\(436\) | 13.5111 | − | 41.5829i | 0.647064 | − | 1.99146i | ||||
\(437\) | 3.01404 | − | 0.979321i | 0.144181 | − | 0.0468473i | ||||
\(438\) | 8.14459 | + | 11.2101i | 0.389164 | + | 0.535638i | ||||
\(439\) | −21.4891 | −1.02562 | −0.512810 | − | 0.858502i | \(-0.671395\pi\) | ||||
−0.512810 | + | 0.858502i | \(0.671395\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −11.8614 | −0.564829 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 30.1240 | − | 9.78788i | 1.43123 | − | 0.465036i | 0.512081 | − | 0.858937i | \(-0.328875\pi\) |
0.919153 | + | 0.393901i | \(0.128875\pi\) | |||||||
\(444\) | −1.16385 | + | 3.58198i | −0.0552341 | + | 0.169993i | ||||
\(445\) | −0.954863 | + | 2.91616i | −0.0452649 | + | 0.138239i | ||||
\(446\) | −4.85410 | − | 3.52671i | −0.229848 | − | 0.166995i | ||||
\(447\) | −8.65717 | − | 2.81288i | −0.409470 | − | 0.133045i | ||||
\(448\) | 7.81561 | − | 2.53945i | 0.369253 | − | 0.119978i | ||||
\(449\) | 5.55099 | − | 4.03303i | 0.261968 | − | 0.190331i | −0.449046 | − | 0.893508i | \(-0.648236\pi\) |
0.711014 | + | 0.703178i | \(0.248236\pi\) | |||||||
\(450\) | −17.4891 | − | 24.3036i | −0.824445 | − | 1.14568i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 2.17448i | 0.102279i | ||||||||
\(453\) | −5.69716 | − | 7.84147i | −0.267676 | − | 0.368424i | ||||
\(454\) | 13.0509 | + | 40.1666i | 0.612510 | + | 1.88511i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −15.3537 | − | 11.1551i | −0.719004 | − | 0.522387i | ||||
\(457\) | 12.2169 | − | 16.8151i | 0.571482 | − | 0.786577i | −0.421247 | − | 0.906946i | \(-0.638408\pi\) |
0.992729 | + | 0.120368i | \(0.0384076\pi\) | |||||||
\(458\) | −35.1181 | − | 11.4105i | −1.64096 | − | 0.533180i | ||||
\(459\) | −2.08418 | − | 6.41446i | −0.0972814 | − | 0.299401i | ||||
\(460\) | −4.56722 | + | 6.25624i | −0.212948 | + | 0.291699i | ||||
\(461\) | 2.23369 | 0.104033 | 0.0520166 | − | 0.998646i | \(-0.483435\pi\) | ||||
0.0520166 | + | 0.998646i | \(0.483435\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 30.0897i | − | 1.39839i | −0.714933 | − | 0.699193i | \(-0.753543\pi\) | ||
0.714933 | − | 0.699193i | \(-0.246457\pi\) | |||||||
\(464\) | 45.0807 | − | 32.7530i | 2.09282 | − | 1.52052i | ||||
\(465\) | 3.50063 | + | 4.84134i | 0.162338 | + | 0.224512i | ||||
\(466\) | 2.93230 | − | 9.02469i | 0.135836 | − | 0.418061i | ||||
\(467\) | 4.53799 | − | 6.24601i | 0.209993 | − | 0.289031i | −0.691008 | − | 0.722847i | \(-0.742833\pi\) |
0.901001 | + | 0.433816i | \(0.142833\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −9.96076 | + | 30.6561i | −0.459945 | + | 1.41557i | ||||
\(470\) | 30.3412 | − | 21.9388i | 1.39954 | − | 1.01196i | ||||
\(471\) | −15.6725 | + | 11.3867i | −0.722151 | + | 0.524673i | ||||
\(472\) | − | 44.1485i | − | 2.03210i | ||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −2.51087 | −0.115328 | ||||||||
\(475\) | −6.26687 | + | 18.9928i | −0.287544 | + | 0.871449i | ||||
\(476\) | 7.41641 | + | 22.8254i | 0.339930 | + | 1.04620i | ||||
\(477\) | 22.7814 | + | 7.40212i | 1.04309 | + | 0.338920i | ||||
\(478\) | 21.8775 | − | 30.1118i | 1.00065 | − | 1.37728i | ||||
\(479\) | −4.44080 | − | 3.22643i | −0.202905 | − | 0.147419i | 0.481693 | − | 0.876340i | \(-0.340022\pi\) |
−0.684598 | + | 0.728921i | \(0.740022\pi\) | |||||||
\(480\) | 7.27936 | + | 0.0165691i | 0.332256 | + | 0.000756271i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −24.8451 | − | 34.1963i | −1.13166 | − | 1.55760i | ||||
\(483\) | − | 2.17448i | − | 0.0989423i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 12.4307 | − | 4.00772i | 0.564449 | − | 0.181981i | ||||
\(486\) | −32.1364 | + | 23.3485i | −1.45774 | + | 1.05911i | ||||
\(487\) | −6.78159 | + | 2.20347i | −0.307303 | + | 0.0998488i | −0.458609 | − | 0.888638i | \(-0.651652\pi\) |
0.151306 | + | 0.988487i | \(0.451652\pi\) | |||||||
\(488\) | 4.24054 | + | 1.37784i | 0.191960 | + | 0.0623717i | ||||
\(489\) | 2.22040 | + | 1.61321i | 0.100410 | + | 0.0729520i | ||||
\(490\) | −26.8217 | − | 8.78245i | −1.21168 | − | 0.396750i | ||||
\(491\) | 2.01197 | − | 6.19221i | 0.0907990 | − | 0.279451i | −0.895337 | − | 0.445389i | \(-0.853065\pi\) |
0.986136 | + | 0.165939i | \(0.0530654\pi\) | |||||||
\(492\) | −28.8095 | + | 9.36076i | −1.29883 | + | 0.422016i | ||||
\(493\) | −8.14459 | − | 11.2101i | −0.366814 | − | 0.504876i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 21.4891 | 0.964890 | ||||||||
\(497\) | −20.5994 | − | 28.3526i | −0.924009 | − | 1.27179i | ||||
\(498\) | −12.6172 | + | 4.09957i | −0.565390 | + | 0.183706i | ||||
\(499\) | 6.18034 | − | 19.0211i | 0.276670 | − | 0.851503i | −0.712103 | − | 0.702075i | \(-0.752257\pi\) |
0.988773 | − | 0.149427i | \(-0.0477430\pi\) | |||||||
\(500\) | −14.7880 | − | 46.5931i | −0.661342 | − | 2.08371i | ||||
\(501\) | −10.0863 | − | 7.32814i | −0.450623 | − | 0.327397i | ||||
\(502\) | −53.0979 | − | 17.2525i | −2.36987 | − | 0.770018i | ||||
\(503\) | −12.8977 | + | 4.19072i | −0.575080 | + | 0.186855i | −0.582095 | − | 0.813120i | \(-0.697767\pi\) |
0.00701509 | + | 0.999975i | \(0.497767\pi\) | |||||||
\(504\) | 39.8133 | − | 28.9261i | 1.77343 | − | 1.28847i | ||||
\(505\) | 4.11684 | + | 12.7692i | 0.183197 | + | 0.568220i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 10.2997i | − | 0.457427i | ||||||
\(508\) | 21.1195 | + | 29.0685i | 0.937026 | + | 1.28971i | ||||
\(509\) | −6.99235 | − | 21.5202i | −0.309930 | − | 0.953868i | −0.977791 | − | 0.209582i | \(-0.932790\pi\) |
0.667861 | − | 0.744286i | \(-0.267210\pi\) | |||||||
\(510\) | 0.0161299 | − | 7.08641i | 0.000714243 | − | 0.313792i | ||||
\(511\) | 19.4164 | + | 14.1068i | 0.858931 | + | 0.624050i | ||||
\(512\) | −29.4697 | + | 40.5616i | −1.30239 | + | 1.79259i | ||||
\(513\) | 16.1923 | + | 5.26119i | 0.714906 | + | 0.232287i | ||||
\(514\) | 8.33674 | + | 25.6578i | 0.367718 | + | 1.13172i | ||||
\(515\) | −13.7017 | + | 18.7687i | −0.603767 | + | 0.827049i | ||||
\(516\) | −12.0000 | −0.528271 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 9.50744i | 0.417733i | ||||||||
\(519\) | 5.45647 | − | 3.96435i | 0.239512 | − | 0.174016i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.67661 | + | 20.5485i | −0.292508 | + | 0.900246i | 0.691540 | + | 0.722339i | \(0.256933\pi\) |
−0.984047 | + | 0.177907i | \(0.943067\pi\) | |||||||
\(522\) | −30.7801 | + | 42.3652i | −1.34721 | + | 1.85428i | ||||
\(523\) | 17.0472 | − | 23.4635i | 0.745422 | − | 1.02599i | −0.252866 | − | 0.967501i | \(-0.581373\pi\) |
0.998288 | − | 0.0584843i | \(-0.0186268\pi\) | |||||||
\(524\) | 3.70820 | − | 11.4127i | 0.161994 | − | 0.498565i | ||||
\(525\) | 11.0652 | + | 8.11652i | 0.482923 | + | 0.354234i | ||||
\(526\) | 55.9936 | − | 40.6818i | 2.44144 | − | 1.77381i | ||||
\(527\) | − | 5.34363i | − | 0.232772i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.3723 | 0.972708 | ||||||||
\(530\) | 46.0339 | + | 33.6059i | 1.99958 | + | 1.45975i | ||||
\(531\) | 5.40444 | + | 16.6331i | 0.234533 | + | 0.721817i | ||||
\(532\) | −57.6189 | − | 18.7215i | −2.49810 | − | 0.811681i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 2.22040 | + | 1.61321i | 0.0960860 | + | 0.0698106i | ||||
\(535\) | −0.0337610 | + | 14.8324i | −0.00145961 | + | 0.641259i | ||||
\(536\) | −17.2193 | − | 52.9955i | −0.743760 | − | 2.28906i | ||||
\(537\) | −5.98949 | − | 8.24382i | −0.258465 | − | 0.355747i | ||||
\(538\) | 29.0024i | 1.25038i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −39.6060 | + | 12.7692i | −1.70437 | + | 0.549497i | ||||
\(541\) | −27.6956 | + | 20.1221i | −1.19073 | + | 0.865115i | −0.993341 | − | 0.115211i | \(-0.963246\pi\) |
−0.197387 | + | 0.980326i | \(0.563246\pi\) | |||||||
\(542\) | −32.3845 | + | 10.5224i | −1.39103 | + | 0.451975i | ||||
\(543\) | −18.1723 | − | 5.90453i | −0.779847 | − | 0.253388i | ||||
\(544\) | −5.26741 | − | 3.82700i | −0.225838 | − | 0.164081i | ||||
\(545\) | −6.95822 | + | 21.2505i | −0.298057 | + | 0.910271i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −27.5830 | + | 8.96224i | −1.17936 | + | 0.383198i | −0.832130 | − | 0.554581i | \(-0.812878\pi\) |
−0.347232 | + | 0.937779i | \(0.612878\pi\) | |||||||
\(548\) | −36.8886 | − | 50.7728i | −1.57580 | − | 2.16891i | ||||
\(549\) | −1.76631 | −0.0753844 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 34.9783 | 1.49012 | ||||||||
\(552\) | 2.20952 | + | 3.04114i | 0.0940433 | + | 0.129439i | ||||
\(553\) | −4.13611 | + | 1.34390i | −0.175885 | + | 0.0571486i | ||||
\(554\) | −9.11264 | + | 28.0458i | −0.387159 | + | 1.19155i | ||||
\(555\) | 0.599385 | − | 1.83053i | 0.0254425 | − | 0.0777017i | ||||
\(556\) | 57.4226 | + | 41.7200i | 2.43526 | + | 1.76932i | ||||
\(557\) | 0.945984 | + | 0.307369i | 0.0400826 | + | 0.0130236i | 0.328990 | − | 0.944334i | \(-0.393292\pi\) |
−0.288907 | + | 0.957357i | \(0.593292\pi\) | |||||||
\(558\) | −19.2063 | + | 6.24051i | −0.813068 | + | 0.264182i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 46.9783 | − | 15.1460i | 1.98519 | − | 0.640036i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | − | 1.28962i | − | 0.0543994i | ||||||
\(563\) | 11.1121 | + | 15.2945i | 0.468320 | + | 0.644588i | 0.976208 | − | 0.216836i | \(-0.0695735\pi\) |
−0.507888 | + | 0.861423i | \(0.669574\pi\) | |||||||
\(564\) | −7.10067 | − | 21.8536i | −0.298992 | − | 0.920203i | ||||
\(565\) | 0.00253126 | − | 1.11207i | 0.000106491 | − | 0.0467851i | ||||
\(566\) | 30.9317 | + | 22.4732i | 1.30016 | + | 0.944619i | ||||
\(567\) | −7.62448 | + | 10.4942i | −0.320198 | + | 0.440715i | ||||
\(568\) | 57.6189 | + | 18.7215i | 2.41764 | + | 0.785537i | ||||
\(569\) | 8.42239 | + | 25.9215i | 0.353085 | + | 1.08668i | 0.957111 | + | 0.289720i | \(0.0935621\pi\) |
−0.604026 | + | 0.796964i | \(0.706438\pi\) | |||||||
\(570\) | 14.4482 | + | 10.5475i | 0.605167 | + | 0.441788i | ||||
\(571\) | 1.48913 | 0.0623180 | 0.0311590 | − | 0.999514i | \(-0.490080\pi\) | ||||
0.0311590 | + | 0.999514i | \(0.490080\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 15.3484i | 0.641189i | ||||||||
\(574\) | −61.8634 | + | 44.9464i | −2.58213 | + | 1.87603i | ||||
\(575\) | 2.34304 | − | 3.19424i | 0.0977115 | − | 0.133209i | ||||
\(576\) | 1.73906 | − | 5.35228i | 0.0724609 | − | 0.223012i | ||||
\(577\) | −12.8560 | + | 17.6947i | −0.535200 | + | 0.736640i | −0.987912 | − | 0.155017i | \(-0.950457\pi\) |
0.452712 | + | 0.891657i | \(0.350457\pi\) | |||||||
\(578\) | 21.4985 | − | 29.5902i | 0.894220 | − | 1.23079i | ||||
\(579\) | −4.02394 | + | 12.3844i | −0.167229 | + | 0.514679i | ||||
\(580\) | −69.2796 | + | 50.0940i | −2.87668 | + | 2.08004i | ||||
\(581\) | −18.5898 | + | 13.5063i | −0.771235 | + | 0.560335i | ||||
\(582\) | − | 11.6819i | − | 0.484231i | ||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −41.4891 | −1.71683 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.47214 | − | 7.60845i | −0.102123 | − | 0.314302i | ||||
\(587\) | 39.2542 | + | 12.7544i | 1.62019 | + | 0.526432i | 0.971987 | − | 0.235033i | \(-0.0755199\pi\) |
0.648205 | + | 0.761466i | \(0.275520\pi\) | |||||||
\(588\) | −10.1807 | + | 14.0126i | −0.419847 | + | 0.577869i | ||||
\(589\) | 10.9129 | + | 7.92871i | 0.449660 | + | 0.326697i | ||||
\(590\) | −0.0947192 | + | 41.6134i | −0.00389953 | + | 1.71320i | ||||
\(591\) | −2.08418 | − | 6.41446i | −0.0857319 | − | 0.263856i | ||||
\(592\) | −4.07230 | − | 5.60503i | −0.167370 | − | 0.230365i | ||||
\(593\) | − | 22.7739i | − | 0.935214i | −0.883937 | − | 0.467607i | \(-0.845116\pi\) | ||
0.883937 | − | 0.467607i | \(-0.154884\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.76631 | − | 11.6819i | −0.154404 | − | 0.478912i | ||||
\(596\) | 40.6399 | − | 29.5266i | 1.66468 | − | 1.20946i | ||||
\(597\) | 6.02808 | − | 1.95864i | 0.246713 | − | 0.0801618i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 8.88159 | + | 6.45285i | 0.362892 | + | 0.263656i | 0.754257 | − | 0.656579i | \(-0.227997\pi\) |
−0.391365 | + | 0.920235i | \(0.627997\pi\) | |||||||
\(600\) | −23.7226 | − | 0.107994i | −0.968470 | − | 0.00440883i | ||||
\(601\) | −11.8871 | + | 36.5846i | −0.484884 | + | 1.49232i | 0.347265 | + | 0.937767i | \(0.387110\pi\) |
−0.832149 | + | 0.554552i | \(0.812890\pi\) | |||||||
\(602\) | −28.8095 | + | 9.36076i | −1.17419 | + | 0.381516i | ||||
\(603\) | 12.9749 | + | 17.8584i | 0.528379 | + | 0.727251i | ||||
\(604\) | 53.4891 | 2.17644 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 12.0000 | 0.487467 | ||||||||
\(607\) | 2.03615 | + | 2.80252i | 0.0826447 | + | 0.113751i | 0.848338 | − | 0.529456i | \(-0.177604\pi\) |
−0.765693 | + | 0.643206i | \(0.777604\pi\) | |||||||
\(608\) | 15.6312 | − | 5.07889i | 0.633930 | − | 0.205976i | ||||
\(609\) | 7.41641 | − | 22.8254i | 0.300528 | − | 0.924930i | ||||
\(610\) | −3.99409 | − | 1.30782i | −0.161716 | − | 0.0529519i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 15.6312 | + | 5.07889i | 0.631855 | + | 0.205302i | ||||
\(613\) | 4.13611 | − | 1.34390i | 0.167056 | − | 0.0542797i | −0.224295 | − | 0.974521i | \(-0.572008\pi\) |
0.391351 | + | 0.920242i | \(0.372008\pi\) | |||||||
\(614\) | −64.4971 | + | 46.8599i | −2.60289 | + | 1.89111i | ||||
\(615\) | 14.7446 | − | 4.75372i | 0.594558 | − | 0.191689i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 17.0256i | 0.685423i | 0.939441 | + | 0.342712i | \(0.111345\pi\) | ||||
−0.939441 | + | 0.342712i | \(0.888655\pi\) | |||||||
\(618\) | 12.2169 | + | 16.8151i | 0.491435 | + | 0.676403i | ||||
\(619\) | −4.36234 | − | 13.4259i | −0.175337 | − | 0.539633i | 0.824311 | − | 0.566137i | \(-0.191563\pi\) |
−0.999649 | + | 0.0265037i | \(0.991563\pi\) | |||||||
\(620\) | −32.9698 | − | 0.0750448i | −1.32410 | − | 0.00301387i | ||||
\(621\) | −2.72823 | − | 1.98218i | −0.109480 | − | 0.0795420i | ||||
\(622\) | 8.14459 | − | 11.2101i | 0.326568 | − | 0.449483i | ||||
\(623\) | 4.52106 | + | 1.46898i | 0.181132 | + | 0.0588535i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 7.50863 | + | 23.8458i | 0.300345 | + | 0.953831i | ||||
\(626\) | 55.2119 | 2.20671 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 106.907i | − | 4.26606i | ||||||
\(629\) | −1.39379 | + | 1.01264i | −0.0555739 | + | 0.0403768i | ||||
\(630\) | −37.5892 | + | 27.1797i | −1.49759 | + | 1.08286i | ||||
\(631\) | 7.29465 | − | 22.4506i | 0.290395 | − | 0.893745i | −0.694334 | − | 0.719653i | \(-0.744301\pi\) |
0.984729 | − | 0.174092i | \(-0.0556990\pi\) | |||||||
\(632\) | 4.41903 | − | 6.08228i | 0.175780 | − | 0.241940i | ||||
\(633\) | −0.693478 | + | 0.954490i | −0.0275633 | + | 0.0379376i | ||||
\(634\) | 25.7139 | − | 79.1393i | 1.02123 | − | 3.14302i | ||||
\(635\) | −10.7670 | − | 14.8907i | −0.427277 | − | 0.590921i | ||||
\(636\) | 28.2980 | − | 20.5597i | 1.12209 | − | 0.815245i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −24.0000 | −0.949425 | ||||||||
\(640\) | 18.7301 | − | 25.6568i | 0.740374 | − | 1.01417i | ||||
\(641\) | −7.84047 | − | 24.1305i | −0.309680 | − | 0.953096i | −0.977889 | − | 0.209123i | \(-0.932939\pi\) |
0.668210 | − | 0.743973i | \(-0.267061\pi\) | |||||||
\(642\) | 12.6172 | + | 4.09957i | 0.497961 | + | 0.161797i | ||||
\(643\) | −17.9242 | + | 24.6705i | −0.706861 | + | 0.972910i | 0.292998 | + | 0.956113i | \(0.405347\pi\) |
−0.999859 | + | 0.0167972i | \(0.994653\pi\) | |||||||
\(644\) | 9.70820 | + | 7.05342i | 0.382557 | + | 0.277944i | ||||
\(645\) | 6.13701 | + | 0.0139689i | 0.241645 | + | 0.000550025i | ||||
\(646\) | −4.94427 | − | 15.2169i | −0.194530 | − | 0.598701i | ||||
\(647\) | −12.9205 | − | 17.7835i | −0.507957 | − | 0.699143i | 0.475616 | − | 0.879653i | \(-0.342225\pi\) |
−0.983573 | + | 0.180510i | \(0.942225\pi\) | |||||||
\(648\) | − | 22.4241i | − | 0.880901i | ||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 7.48781 | − | 5.44021i | 0.293470 | − | 0.213219i | ||||
\(652\) | −14.4047 | + | 4.68038i | −0.564133 | + | 0.183298i | ||||
\(653\) | −29.2824 | − | 9.51444i | −1.14591 | − | 0.372329i | −0.326309 | − | 0.945263i | \(-0.605805\pi\) |
−0.819601 | + | 0.572934i | \(0.805805\pi\) | |||||||
\(654\) | 16.1803 | + | 11.7557i | 0.632701 | + | 0.459684i | ||||
\(655\) | −1.90973 | + | 5.83233i | −0.0746192 | + | 0.227888i | ||||
\(656\) | 17.2193 | − | 52.9955i | 0.672301 | − | 2.06913i | ||||
\(657\) | 15.6312 | − | 5.07889i | 0.609832 | − | 0.198147i | ||||
\(658\) | −34.0944 | − | 46.9269i | −1.32914 | − | 1.82940i | ||||
\(659\) | −21.2554 | −0.827994 | −0.413997 | − | 0.910278i | \(-0.635868\pi\) | ||||
−0.413997 | + | 0.910278i | \(0.635868\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.3505 | −0.635962 | −0.317981 | − | 0.948097i | \(-0.603005\pi\) | ||||
−0.317981 | + | 0.948097i | \(0.603005\pi\) | |||||||
\(662\) | 20.9461 | + | 28.8299i | 0.814094 | + | 1.12050i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 12.2750 | − | 37.7786i | 0.476363 | − | 1.46610i | ||||
\(665\) | 29.4455 | + | 9.64159i | 1.14185 | + | 0.373885i | ||||
\(666\) | 5.26741 | + | 3.82700i | 0.204108 | + | 0.148293i | ||||
\(667\) | −6.58911 | − | 2.14093i | −0.255131 | − | 0.0828972i | ||||
\(668\) | 65.4345 | − | 21.2610i | 2.53174 | − | 0.822611i | ||||
\(669\) | 1.52351 | − | 1.10689i | 0.0589021 | − | 0.0427949i | ||||
\(670\) | 16.1168 | + | 49.9894i | 0.622648 | + | 1.93126i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | − | 11.2772i | − | 0.435026i | ||||||
\(673\) | −10.9388 | − | 15.0559i | −0.421658 | − | 0.580363i | 0.544355 | − | 0.838855i | \(-0.316774\pi\) |
−0.966013 | + | 0.258492i | \(0.916774\pi\) | |||||||
\(674\) | −25.3260 | − | 77.9453i | −0.975519 | − | 3.00234i | ||||
\(675\) | 20.2701 | − | 6.48427i | 0.780195 | − | 0.249580i | ||||
\(676\) | 45.9842 | + | 33.4095i | 1.76862 | + | 1.28498i | ||||
\(677\) | −29.4375 | + | 40.5172i | −1.13137 | + | 1.55720i | −0.345939 | + | 0.938257i | \(0.612440\pi\) |
−0.785434 | + | 0.618945i | \(0.787560\pi\) | |||||||
\(678\) | −0.945984 | − | 0.307369i | −0.0363303 | − | 0.0118044i | ||||
\(679\) | −6.25255 | − | 19.2434i | −0.239951 | − | 0.738493i | ||||
\(680\) | 17.1376 | + | 12.5109i | 0.657195 | + | 0.479770i | ||||
\(681\) | −13.2554 | −0.507949 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 17.9104i | 0.685323i | 0.939459 | + | 0.342661i | \(0.111328\pi\) | ||||
−0.939459 | + | 0.342661i | \(0.888672\pi\) | |||||||
\(684\) | −33.5654 | + | 24.3867i | −1.28341 | + | 0.932449i | ||||
\(685\) | 18.8064 | + | 26.0090i | 0.718554 | + | 0.993754i | ||||
\(686\) | 5.40444 | − | 16.6331i | 0.206342 | − | 0.635056i | ||||
\(687\) | 6.81205 | − | 9.37598i | 0.259896 | − | 0.357716i | ||||
\(688\) | 12.9749 | − | 17.8584i | 0.494664 | − | 0.680846i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −2.07612 | − | 2.87125i | −0.0790365 | − | 0.109307i | ||||
\(691\) | −36.2936 | + | 26.3689i | −1.38068 | + | 1.00312i | −0.383858 | + | 0.923392i | \(0.625405\pi\) |
−0.996817 | + | 0.0797273i | \(0.974595\pi\) | |||||||
\(692\) | 37.2203i | 1.41490i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −57.2119 | −2.17174 | ||||||||
\(695\) | −29.3184 | − | 21.4032i | −1.11211 | − | 0.811869i | ||||
\(696\) | 12.8208 | + | 39.4585i | 0.485973 | + | 1.49567i | ||||
\(697\) | −13.1782 | − | 4.28187i | −0.499161 | − | 0.162187i | ||||
\(698\) | −22.9823 | + | 31.6324i | −0.869892 | + | 1.19730i | ||||
\(699\) | 2.40946 | + | 1.75057i | 0.0911340 | + | 0.0662127i | ||||
\(700\) | −72.1294 | + | 23.0738i | −2.72624 | + | 0.872107i | ||||
\(701\) | −3.86607 | − | 11.8985i | −0.146020 | − | 0.449402i | 0.851121 | − | 0.524969i | \(-0.175923\pi\) |
−0.997141 | + | 0.0755673i | \(0.975923\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 4.34896i | − | 0.164024i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.60597 | + | 11.1846i | 0.135809 | + | 0.421236i | ||||
\(706\) | 51.1395 | − | 37.1550i | 1.92466 | − | 1.39835i | ||||
\(707\) | 19.7673 | − | 6.42280i | 0.743427 | − | 0.241554i | ||||
\(708\) | 24.2884 | + | 7.89178i | 0.912814 | + | 0.296591i | ||||
\(709\) | 19.3219 | + | 14.0382i | 0.725648 | + | 0.527214i | 0.888184 | − | 0.459488i | \(-0.151967\pi\) |
−0.162535 | + | 0.986703i | \(0.551967\pi\) | |||||||
\(710\) | −54.2702 | − | 17.7701i | −2.03672 | − | 0.666901i | ||||
\(711\) | −0.920330 | + | 2.83248i | −0.0345151 | + | 0.106226i | ||||
\(712\) | −7.81561 | + | 2.53945i | −0.292903 | + | 0.0951698i | ||||
\(713\) | −1.57045 | − | 2.16154i | −0.0588139 | − | 0.0809504i | ||||
\(714\) | −10.9783 | −0.410851 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 56.2337 | 2.10155 | ||||||||
\(717\) | 6.86646 | + | 9.45088i | 0.256433 | + | 0.352949i | ||||
\(718\) | 70.7971 | − | 23.0034i | 2.64213 | − | 0.858479i | ||||
\(719\) | 9.37883 | − | 28.8651i | 0.349771 | − | 1.07649i | −0.609208 | − | 0.793010i | \(-0.708513\pi\) |
0.958980 | − | 0.283475i | \(-0.0914874\pi\) | |||||||
\(720\) | 10.5186 | − | 32.1240i | 0.392006 | − | 1.19719i | ||||
\(721\) | 29.1246 | + | 21.1603i | 1.08466 | + | 0.788050i | ||||
\(722\) | −7.20236 | − | 2.34019i | −0.268044 | − | 0.0870928i | ||||
\(723\) | 12.6172 | − | 4.09957i | 0.469238 | − | 0.152465i | ||||
\(724\) | 85.3073 | − | 61.9794i | 3.17042 | − | 2.30345i | ||||
\(725\) | 35.4891 | − | 25.5383i | 1.31803 | − | 0.948470i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 14.0588i | − | 0.521412i | −0.965418 | − | 0.260706i | \(-0.916045\pi\) | ||
0.965418 | − | 0.260706i | \(-0.0839552\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.381231 | − | 1.17331i | −0.0141196 | − | 0.0434558i | ||||
\(730\) | 39.1068 | + | 0.0890137i | 1.44741 | + | 0.00329454i | ||||
\(731\) | −4.44080 | − | 3.22643i | −0.164249 | − | 0.119334i | ||||
\(732\) | −1.51604 | + | 2.08665i | −0.0560344 | + | 0.0771248i | ||||
\(733\) | −9.04212 | − | 2.93796i | −0.333978 | − | 0.108516i | 0.137227 | − | 0.990540i | \(-0.456181\pi\) |
−0.471205 | + | 0.882024i | \(0.656181\pi\) | |||||||
\(734\) | 20.0794 | + | 61.7980i | 0.741144 | + | 2.28101i | ||||
\(735\) | 5.22292 | − | 7.15443i | 0.192650 | − | 0.263895i | ||||
\(736\) | −3.25544 | −0.119997 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 52.3663i | 1.92763i | ||||||||
\(739\) | −8.69253 | + | 6.31550i | −0.319760 | + | 0.232319i | −0.736073 | − | 0.676902i | \(-0.763322\pi\) |
0.416313 | + | 0.909221i | \(0.363322\pi\) | |||||||
\(740\) | 6.22836 | + | 8.61376i | 0.228959 | + | 0.316648i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 51.8996 | − | 71.4337i | 1.90530 | − | 2.62241i | ||||
\(743\) | 6.69309 | − | 9.21225i | 0.245546 | − | 0.337965i | −0.668399 | − | 0.743803i | \(-0.733020\pi\) |
0.913945 | + | 0.405838i | \(0.133020\pi\) | |||||||
\(744\) | −4.94427 | + | 15.2169i | −0.181266 | + | 0.557879i | ||||
\(745\) | −20.8183 | + | 15.0531i | −0.762725 | + | 0.551504i | ||||
\(746\) | −23.8572 | + | 17.3333i | −0.873474 | + | 0.634616i | ||||
\(747\) | 15.7359i | 0.575748i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 22.9783 | 0.839607 | ||||||||
\(750\) | 22.3602 | + | 0.152689i | 0.816478 | + | 0.00557540i | ||||
\(751\) | 8.45850 | + | 26.0326i | 0.308655 | + | 0.949943i | 0.978288 | + | 0.207250i | \(0.0664515\pi\) |
−0.669633 | + | 0.742692i | \(0.733549\pi\) | |||||||
\(752\) | 40.2001 | + | 13.0618i | 1.46595 | + | 0.476316i | ||||
\(753\) | 10.2997 | − | 14.1763i | 0.375342 | − | 0.516614i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −27.3553 | − | 0.0622653i | −0.995561 | − | 0.00226607i | ||||
\(756\) | 19.9215 | + | 61.3121i | 0.724538 | + | 2.22990i | ||||
\(757\) | 23.3936 | + | 32.1985i | 0.850253 | + | 1.17027i | 0.983807 | + | 0.179232i | \(0.0573612\pi\) |
−0.133554 | + | 0.991042i | \(0.542639\pi\) | |||||||
\(758\) | 1.58457i | 0.0575543i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −50.9783 | + | 16.4356i | −1.84918 | + | 0.596184i | ||||
\(761\) | −26.4909 | + | 19.2468i | −0.960295 | + | 0.697695i | −0.953219 | − | 0.302280i | \(-0.902252\pi\) |
−0.00707549 | + | 0.999975i | \(0.502252\pi\) | |||||||
\(762\) | −15.6312 | + | 5.07889i | −0.566260 | + | 0.183989i | ||||
\(763\) | 32.9456 | + | 10.7047i | 1.19271 | + | 0.387535i | ||||
\(764\) | −68.5246 | − | 49.7860i | −2.47913 | − | 1.80120i | ||||
\(765\) | −7.98818 | − | 2.61563i | −0.288813 | − | 0.0945684i | ||||
\(766\) | 8.49461 | − | 26.1437i | 0.306923 | − | 0.944611i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −14.4909 | − | 19.9451i | −0.522897 | − | 0.719706i | ||||
\(769\) | −29.2119 | −1.05341 | −0.526705 | − | 0.850048i | \(-0.676573\pi\) | ||||
−0.526705 | + | 0.850048i | \(0.676573\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −8.46738 | −0.304945 | ||||||||
\(772\) | −42.2390 | − | 58.1370i | −1.52021 | − | 2.09240i | ||||
\(773\) | 16.7533 | − | 5.44348i | 0.602574 | − | 0.195788i | 0.00818608 | − | 0.999966i | \(-0.497394\pi\) |
0.594388 | + | 0.804178i | \(0.297394\pi\) | |||||||
\(774\) | −6.41042 | + | 19.7293i | −0.230418 | + | 0.709153i | ||||
\(775\) | 16.8612 | + | 0.0767585i | 0.605673 | + | 0.00275725i | ||||
\(776\) | 28.2980 | + | 20.5597i | 1.01584 | + | 0.738050i | ||||
\(777\) | −2.83795 | − | 0.922107i | −0.101811 | − | 0.0330804i | ||||
\(778\) | 45.2822 | − | 14.7131i | 1.62345 | − | 0.527490i | ||||
\(779\) | 28.2980 | − | 20.5597i | 1.01388 | − | 0.736628i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 3.16915i | 0.113328i | ||||||||
\(783\) | −21.8775 | − | 30.1118i | −0.781839 | − | 1.07611i | ||||
\(784\) | −9.84572 | − | 30.3020i | −0.351633 | − | 1.08221i | ||||
\(785\) | −0.124448 | + | 54.6742i | −0.00444173 | + | 1.95140i | ||||
\(786\) | 4.44080 | + | 3.22643i | 0.158398 | + | 0.115083i | ||||
\(787\) | 8.90261 | − | 12.2534i | 0.317344 | − | 0.436786i | −0.620310 | − | 0.784357i | \(-0.712993\pi\) |
0.937654 | + | 0.347570i | \(0.112993\pi\) | |||||||
\(788\) | 35.3986 | + | 11.5017i | 1.26102 | + | 0.409731i | ||||
\(789\) | 6.71272 | + | 20.6596i | 0.238979 | + | 0.735502i | ||||
\(790\) | −4.17834 | + | 5.72355i | −0.148659 | + | 0.203635i | ||||
\(791\) | −1.72281 | −0.0612562 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 33.5654 | − | 24.3867i | 1.19119 | − | 0.865451i | ||||
\(795\) | −14.4960 | + | 10.4817i | −0.514121 | + | 0.371746i | ||||
\(796\) | −10.8089 | + | 33.2663i | −0.383110 | + | 1.17909i | ||||
\(797\) | −3.08649 | + | 4.24819i | −0.109329 | + | 0.150479i | −0.860175 | − | 0.509998i | \(-0.829646\pi\) |
0.750846 | + | 0.660477i | \(0.229646\pi\) | |||||||
\(798\) | 16.2892 | − | 22.4201i | 0.576631 | − | 0.793664i | ||||
\(799\) | 3.24804 | − | 9.99644i | 0.114907 | − | 0.353648i | ||||
\(800\) | 12.1513 | − | 16.5658i | 0.429614 | − | 0.585688i | ||||
\(801\) | 2.63370 | − | 1.91350i | 0.0930574 | − | 0.0676101i | ||||
\(802\) | − | 29.0024i | − | 1.02411i | ||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 32.2337 | 1.13679 | ||||||||
\(805\) | −4.95674 | − | 3.61855i | −0.174702 | − | 0.127537i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −8.65717 | − | 2.81288i | −0.304747 | − | 0.0990182i | ||||
\(808\) | −21.1195 | + | 29.0685i | −0.742981 | + | 1.02263i | ||||
\(809\) | −26.4909 | − | 19.2468i | −0.931371 | − | 0.676680i | 0.0149573 | − | 0.999888i | \(-0.495239\pi\) |
−0.946328 | + | 0.323208i | \(0.895239\pi\) | |||||||
\(810\) | −0.0481102 | + | 21.1365i | −0.00169042 | + | 0.742660i | ||||
\(811\) | −0.0722135 | − | 0.222250i | −0.00253576 | − | 0.00780427i | 0.949781 | − | 0.312917i | \(-0.101306\pi\) |
−0.952316 | + | 0.305112i | \(0.901306\pi\) | |||||||
\(812\) | 77.8494 | + | 107.151i | 2.73198 | + | 3.76025i | ||||
\(813\) | − | 10.6873i | − | 0.374819i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 7.37228 | − | 2.37686i | 0.258240 | − | 0.0832578i | ||||
\(816\) | 6.47214 | − | 4.70228i | 0.226570 | − | 0.164613i | ||||
\(817\) | 13.1782 | − | 4.28187i | 0.461048 | − | 0.149803i | ||||
\(818\) | −65.9956 | − | 21.4433i | −2.30748 | − | 0.749746i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −26.6038 | + | 81.2484i | −0.929046 | + | 2.83732i | ||||
\(821\) | −5.56231 | + | 17.1190i | −0.194126 | + | 0.597458i | 0.805860 | + | 0.592106i | \(0.201703\pi\) |
−0.999986 | + | 0.00535152i | \(0.998297\pi\) | |||||||
\(822\) | 27.3024 | − | 8.87110i | 0.952282 | − | 0.309415i | ||||
\(823\) | −32.9352 | − | 45.3315i | −1.14805 | − | 1.58016i | −0.748053 | − | 0.663639i | \(-0.769011\pi\) |
−0.399997 | − | 0.916516i | \(-0.630989\pi\) | |||||||
\(824\) | −62.2337 | −2.16801 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 64.4674 | 2.24311 | ||||||||
\(827\) | 16.7005 | + | 22.9862i | 0.580732 | + | 0.799309i | 0.993775 | − | 0.111402i | \(-0.0355342\pi\) |
−0.413043 | + | 0.910711i | \(0.635534\pi\) | |||||||
\(828\) | 7.81561 | − | 2.53945i | 0.271611 | − | 0.0882519i | ||||
\(829\) | 6.28866 | − | 19.3545i | 0.218414 | − | 0.672210i | −0.780479 | − | 0.625182i | \(-0.785025\pi\) |
0.998894 | − | 0.0470282i | \(-0.0149751\pi\) | |||||||
\(830\) | −11.6512 | + | 35.5830i | −0.404420 | + | 1.23510i | ||||
\(831\) | −7.48781 | − | 5.44021i | −0.259749 | − | 0.188719i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −7.53510 | + | 2.44830i | −0.261076 | + | 0.0848286i | ||||
\(834\) | −26.2667 | + | 19.0838i | −0.909540 | + | 0.660819i | ||||
\(835\) | −33.4891 | + | 10.7971i | −1.15894 | + | 0.373648i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 14.3537i | − | 0.496138i | ||||||
\(838\) | −34.0944 | − | 46.9269i | −1.17777 | − | 1.62106i | ||||
\(839\) | 3.12628 | + | 9.62169i | 0.107931 | + | 0.332178i | 0.990407 | − | 0.138180i | \(-0.0441251\pi\) |
−0.882476 | + | 0.470357i | \(0.844125\pi\) | |||||||
\(840\) | −0.0836519 | + | 36.7511i | −0.00288626 | + | 1.26803i | ||||
\(841\) | −38.4019 | − | 27.9006i | −1.32420 | − | 0.962090i | ||||
\(842\) | 12.6282 | − | 17.3812i | 0.435195 | − | 0.598995i | ||||
\(843\) | 0.384949 | + | 0.125078i | 0.0132583 | + | 0.00430790i | ||||
\(844\) | −2.01197 | − | 6.19221i | −0.0692549 | − | 0.213145i | ||||
\(845\) | −23.4783 | − | 17.1397i | −0.807677 | − | 0.589625i | ||||
\(846\) | −39.7228 | −1.36570 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 64.3432i | 2.20955i | ||||||||
\(849\) | −9.70820 | + | 7.05342i | −0.333185 | + | 0.242073i | ||||
\(850\) | −16.1267 | − | 11.8292i | −0.553140 | − | 0.405740i | ||||
\(851\) | −0.266189 | + | 0.819246i | −0.00912485 | + | 0.0280834i | ||||
\(852\) | −20.5994 | + | 28.3526i | −0.705723 | + | 0.971345i | ||||
\(853\) | 20.5994 | − | 28.3526i | 0.705310 | − | 0.970775i | −0.294576 | − | 0.955628i | \(-0.595178\pi\) |
0.999885 | − | 0.0151473i | \(-0.00482172\pi\) | |||||||
\(854\) | −2.01197 | + | 6.19221i | −0.0688482 | + | 0.211893i | ||||
\(855\) | 17.1943 | − | 12.4327i | 0.588034 | − | 0.425190i | ||||
\(856\) | −32.1364 | + | 23.3485i | −1.09840 | + | 0.798035i | ||||
\(857\) | 23.9538i | 0.818245i | 0.912480 | + | 0.409122i | \(0.134165\pi\) | ||||
−0.912480 | + | 0.409122i | \(0.865835\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 6.11684 | 0.208704 | 0.104352 | − | 0.994540i | \(-0.466723\pi\) | ||||
0.104352 | + | 0.994540i | \(0.466723\pi\) | |||||||
\(860\) | −19.9692 | + | 27.3540i | −0.680943 | + | 0.932765i | ||||
\(861\) | −7.41641 | − | 22.8254i | −0.252751 | − | 0.777886i | ||||
\(862\) | −61.7550 | − | 20.0654i | −2.10338 | − | 0.683431i | ||||
\(863\) | −1.68941 | + | 2.32527i | −0.0575082 | + | 0.0791532i | −0.836802 | − | 0.547505i | \(-0.815578\pi\) |
0.779294 | + | 0.626658i | \(0.215578\pi\) | |||||||
\(864\) | −14.1490 | − | 10.2798i | −0.481359 | − | 0.349728i | ||||
\(865\) | 0.0433271 | − | 19.0351i | 0.00147317 | − | 0.647213i | ||||
\(866\) | −22.7816 | − | 70.1146i | −0.774150 | − | 2.38259i | ||||
\(867\) | 6.74751 | + | 9.28715i | 0.229157 | + | 0.315408i | ||||
\(868\) | 51.0767i | 1.73365i | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −12.0000 | − | 37.2203i | −0.406838 | − | 1.26188i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −56.9534 | + | 18.5053i | −1.92869 | + | 0.626668i | ||||
\(873\) | −13.1782 | − | 4.28187i | −0.446015 | − | 0.144919i | ||||
\(874\) | −6.47214 | − | 4.70228i | −0.218923 | − | 0.159057i | ||||
\(875\) | 36.9151 | − | 11.7164i | 1.24796 | − | 0.396086i | ||||
\(876\) | 7.41641 | − | 22.8254i | 0.250577 | − | 0.771197i | ||||
\(877\) | 0 | 0 | −0.309017 | − | 0.951057i | \(-0.600000\pi\) | ||||
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(878\) | 31.8849 | + | 43.8858i | 1.07606 | + | 1.48107i | ||||
\(879\) | 2.51087 | 0.0846897 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −6.86141 | −0.231167 | −0.115583 | − | 0.993298i | \(-0.536874\pi\) | ||||
−0.115583 | + | 0.993298i | \(0.536874\pi\) | |||||||
\(882\) | 17.5996 | + | 24.2237i | 0.592609 | + | 0.815656i | ||||
\(883\) | −23.0619 | + | 7.49326i | −0.776095 | + | 0.252168i | −0.670172 | − | 0.742206i | \(-0.733780\pi\) |
−0.105923 | + | 0.994374i | \(0.533780\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −12.4123 | − | 4.06427i | −0.417236 | − | 0.136619i | ||||
\(886\) | −64.6862 | − | 46.9973i | −2.17317 | − | 1.57890i | ||||
\(887\) | 26.0759 | + | 8.47258i | 0.875544 | + | 0.284482i | 0.712106 | − | 0.702072i | \(-0.247742\pi\) |
0.163438 | + | 0.986554i | \(0.447742\pi\) | |||||||
\(888\) | 4.90601 | − | 1.59406i | 0.164635 | − | 0.0534931i | ||||
\(889\) | −23.0306 | + | 16.7327i | −0.772421 | + | 0.561197i | ||||
\(890\) | 7.37228 | − | 2.37686i | 0.247119 | − | 0.0796726i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 10.3923i | 0.347960i | ||||||||
\(893\) | 15.5957 | + | 21.4656i | 0.521890 | + | 0.718320i | ||||
\(894\) | 7.10067 | + | 21.8536i | 0.237482 | + | 0.730894i | ||||
\(895\) | −28.7589 | − | 0.0654602i | −0.961304 | − | 0.00218809i | ||||
\(896\) | −39.8133 | − | 28.9261i | −1.33007 | − | 0.966352i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −16.4728 | − | 5.35233i | −0.549704 | − | 0.178610i | ||||
\(899\) | −9.11264 | − | 28.0458i | −0.303924 | − | 0.935381i | ||||
\(900\) | −16.2504 | + | 49.2497i | −0.541681 | + | 1.64166i | ||||
\(901\) | 16.0000 | 0.533037 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | − | 9.50744i | − | 0.316388i | ||||||
\(904\) | 2.40946 | − | 1.75057i | 0.0801373 | − | 0.0582232i | ||||
\(905\) | −43.6998 | + | 31.5981i | −1.45263 | + | 1.05035i | ||||
\(906\) | −7.56083 | + | 23.2699i | −0.251192 | + | 0.773089i | ||||
\(907\) | 11.6968 | − | 16.0992i | 0.388385 | − | 0.534566i | −0.569396 | − | 0.822063i | \(-0.692823\pi\) |
0.957782 | + | 0.287497i | \(0.0928230\pi\) | |||||||
\(908\) | 42.9970 | − | 59.1803i | 1.42691 | − | 1.96397i | ||||
\(909\) | 4.39845 | − | 13.5370i | 0.145887 | − | 0.448995i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 43.2736 | − | 31.4401i | 1.43372 | − | 1.04166i | 0.444410 | − | 0.895824i | \(-0.353413\pi\) |
0.989309 | − | 0.145834i | \(-0.0465865\pi\) | |||||||
\(912\) | 20.1947i | 0.668713i | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −52.4674 | −1.73547 | ||||||||
\(915\) | 0.777759 | − | 1.06538i | 0.0257119 | − | 0.0352205i | ||||
\(916\) | 19.7636 | + | 60.8262i | 0.653009 | + | 2.00976i | ||||
\(917\) | 9.04212 | + | 2.93796i | 0.298597 | + | 0.0970200i | ||||
\(918\) | −10.0074 | + | 13.7740i | −0.330292 | + | 0.454609i | ||||
\(919\) | −22.8415 | − | 16.5953i | −0.753473 | − | 0.547430i | 0.143429 | − | 0.989661i | \(-0.454187\pi\) |
−0.896901 | + | 0.442231i | \(0.854187\pi\) | |||||||
\(920\) | 10.6091 | + | 0.0241482i | 0.349773 | + | 0.000796143i | ||||
\(921\) | −7.73215 | − | 23.7971i | −0.254783 | − | 0.784141i | ||||
\(922\) | −3.31428 | − | 4.56171i | −0.109150 | − | 0.150232i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.17527 | − | 4.41248i | −0.104402 | − | 0.145081i | ||||
\(926\) | −61.4501 | + | 44.6461i | −2.01938 | + | 1.46716i | ||||
\(927\) | 23.4468 | − | 7.61834i | 0.770095 | − | 0.250219i | ||||
\(928\) | −34.1721 | − | 11.1032i | −1.12175 | − | 0.364480i | ||||
\(929\) | −5.68071 | − | 4.12728i | −0.186378 | − | 0.135412i | 0.490684 | − | 0.871338i | \(-0.336747\pi\) |
−0.677062 | + | 0.735926i | \(0.736747\pi\) | |||||||
\(930\) | 4.69301 | − | 14.3325i | 0.153890 | − | 0.469982i | ||||
\(931\) | 6.18034 | − | 19.0211i | 0.202552 | − | 0.623392i | ||||
\(932\) | −15.6312 | + | 5.07889i | −0.512018 | + | 0.166365i | ||||
\(933\) | 2.55626 | + | 3.51838i | 0.0836881 | + | 0.115187i | ||||
\(934\) | −19.4891 | −0.637704 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 31.5381 | + | 43.4085i | 1.03031 | + | 1.41810i | 0.904717 | + | 0.426013i | \(0.140082\pi\) |
0.125589 | + | 0.992082i | \(0.459918\pi\) | |||||||
\(938\) | 77.3862 | − | 25.1443i | 2.52675 | − | 0.820991i | ||||
\(939\) | −5.35489 | + | 16.4807i | −0.174750 | + | 0.537826i | ||||
\(940\) | −61.6316 | − | 20.1805i | −2.01020 | − | 0.658216i | ||||
\(941\) | 47.3011 | + | 34.3663i | 1.54197 | + | 1.12031i | 0.949084 | + | 0.315023i | \(0.102012\pi\) |
0.592888 | + | 0.805285i | \(0.297988\pi\) | |||||||
\(942\) | 46.5087 | + | 15.1116i | 1.51534 | + | 0.492363i | ||||
\(943\) | −6.58911 | + | 2.14093i | −0.214571 | + | 0.0697184i | ||||
\(944\) | −38.0062 | + | 27.6131i | −1.23700 | + | 0.898731i | ||||
\(945\) | −10.1168 | − | 31.3793i | −0.329101 | − | 1.02077i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 26.7354i | 0.868783i | 0.900724 | + | 0.434392i | \(0.143037\pi\) | ||||
−0.900724 | + | 0.434392i | \(0.856963\pi\) | |||||||
\(948\) | 2.55626 | + | 3.51838i | 0.0830233 | + | 0.114272i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 48.0863 | − | 15.3825i | 1.56013 | − | 0.499075i | ||||
\(951\) | 21.1290 | + | 15.3511i | 0.685154 | + | 0.497793i | ||||
\(952\) | 19.3213 | − | 26.5934i | 0.626206 | − | 0.861898i | ||||
\(953\) | 29.7554 | + | 9.66813i | 0.963873 | + | 0.313181i | 0.748340 | − | 0.663315i | \(-0.230851\pi\) |
0.215533 | + | 0.976497i | \(0.430851\pi\) | |||||||
\(954\) | −18.6854 | − | 57.5079i | −0.604964 | − | 1.86189i | ||||
\(955\) | 34.9867 | + | 25.5412i | 1.13214 | + | 0.826495i | ||||
\(956\) | −64.4674 | −2.08502 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 13.8564i | 0.447680i | ||||||||
\(959\) | 40.2266 | − | 29.2263i | 1.29898 | − | 0.943768i | ||||
\(960\) | 2.46257 | + | 3.40571i | 0.0794791 | + | 0.109919i | ||||
\(961\) | −6.06530 | + | 18.6671i | −0.195655 | + | 0.602164i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 9.24935 | − | 12.7306i | 0.298056 | − | 0.410239i | ||||
\(964\) | −22.6237 | + | 69.6287i | −0.728661 | + | 2.24259i | ||||
\(965\) | 21.5341 | + | 29.7815i | 0.693207 | + | 0.958699i | ||||
\(966\) | −4.44080 | + | 3.22643i | −0.142880 | + | 0.103809i | ||||
\(967\) | 26.4232i | 0.849713i | 0.905261 | + | 0.424856i | \(0.139675\pi\) | ||||
−0.905261 | + | 0.424856i | \(0.860325\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 5.02175 | 0.161322 | ||||||||
\(970\) | −26.6290 | − | 19.4399i | −0.855005 | − | 0.624176i | ||||
\(971\) | −2.81054 | − | 8.64995i | −0.0901945 | − | 0.277590i | 0.895777 | − | 0.444504i | \(-0.146620\pi\) |
−0.985972 | + | 0.166914i | \(0.946620\pi\) | |||||||
\(972\) | 65.4345 | + | 21.2610i | 2.09881 | + | 0.681946i | ||||
\(973\) | −33.0542 | + | 45.4952i | −1.05967 | + | 1.45851i | ||||
\(974\) | 14.5623 | + | 10.5801i | 0.466606 | + | 0.339009i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.46615 | − | 4.51235i | −0.0469303 | − | 0.144437i | ||||
\(977\) | −29.7298 | − | 40.9195i | −0.951140 | − | 1.30913i | −0.951019 | − | 0.309132i | \(-0.899962\pi\) |
−0.000120920 | − | 1.00000i | \(-0.500038\pi\) | |||||||
\(978\) | − | 6.92820i | − | 0.221540i | ||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 15.0000 | + | 46.5253i | 0.479157 | + | 1.48620i | ||||
\(981\) | 19.1922 | − | 13.9439i | 0.612758 | − | 0.445195i | ||||
\(982\) | −15.6312 | + | 5.07889i | −0.498813 | + | 0.162074i | ||||
\(983\) | −23.5349 | − | 7.64695i | −0.750646 | − | 0.243900i | −0.0913870 | − | 0.995815i | \(-0.529130\pi\) |
−0.659259 | + | 0.751916i | \(0.729130\pi\) | |||||||
\(984\) | 33.5654 | + | 24.3867i | 1.07003 | + | 0.777419i | ||||
\(985\) | −18.0901 | − | 5.92338i | −0.576397 | − | 0.188734i | ||||
\(986\) | −10.8089 | + | 33.2663i | −0.344225 | + | 1.05941i | ||||
\(987\) | 17.3143 | − | 5.62577i | 0.551121 | − | 0.179070i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −2.74456 | −0.0872720 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 18.9783 | 0.602864 | 0.301432 | − | 0.953488i | \(-0.402535\pi\) | ||||
0.301432 | + | 0.953488i | \(0.402535\pi\) | |||||||
\(992\) | −8.14459 | − | 11.2101i | −0.258591 | − | 0.355920i | ||||
\(993\) | −10.6372 | + | 3.45623i | −0.337561 | + | 0.109680i | ||||
\(994\) | −27.3379 | + | 84.1375i | −0.867106 | + | 2.66868i | ||||
\(995\) | 5.56657 | − | 17.0004i | 0.176472 | − | 0.538949i | ||||
\(996\) | 18.5898 | + | 13.5063i | 0.589040 | + | 0.427963i | ||||
\(997\) | −2.06805 | − | 0.671952i | −0.0654959 | − | 0.0212809i | 0.276086 | − | 0.961133i | \(-0.410963\pi\) |
−0.341582 | + | 0.939852i | \(0.610963\pi\) | |||||||
\(998\) | −48.0158 | + | 15.6013i | −1.51991 | + | 0.493849i | ||||
\(999\) | −3.74390 | + | 2.72010i | −0.118452 | + | 0.0860603i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))